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Simplifying 15(-42x + 40) = 15(-8x + 24) Reorder the terms: 15(40 + -42x) = 15(-8x + 24) (40 * 15 + -42x * 15) = 15(-8x + 24) (600 + -630x) = 15(-8x + 24) Reorder the terms: 600 + -630x = 15(24 + -8x) 600 + -630x = (24 * 15 + -8x * 15) 600 + -630x = (360 + -120x) Solving 600 + -630x = 360 + -120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120x' to each side of the equation. 600 + -630x + 120x = 360 + -120x + 120x Combine like terms: -630x + 120x = -510x 600 + -510x = 360 + -120x + 120x Combine like terms: -120x + 120x = 0 600 + -510x = 360 + 0 600 + -510x = 360 Add '-600' to each side of the equation. 600 + -600 + -510x = 360 + -600 Combine like terms: 600 + -600 = 0 0 + -510x = 360 + -600 -510x = 360 + -600 Combine like terms: 360 + -600 = -240 -510x = -240 Divide each side by '-510'. x = 0.4705882353 Simplifying x = 0.4705882353
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